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Compute: 11 ! − 10 ! 9 ! - Mathematics

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Compute:

\[\frac{11! - 10!}{9!}\]
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Solution

\[\frac{11! - 10!}{9!} = \frac{11 \times 10 \times 9! - 10 \times 9!}{9!} \left[ \because n! = n(n - 1)! \right]\]
\[ = \frac{9!(110 - 10)}{9!}\]
\[ = 100\]

Concept: Combination
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APPEARS IN

RD Sharma Class 11 Mathematics Textbook
Chapter 16 Permutations
Exercise 16.1 | Q 1.2 | Page 4

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